Form 4 (KSSM) Revision Notes and Videos

01 Functions

1. Relation
   
   1. Domain and Codomain
   2. Types of Relation
2. Functions
   
   1. Notation of Function
   2. Domain, Range, Objects, Images and Absolute Value Functions
   3. Example 1, Example 2 & 3, Example 4 & 5
3. Composite Function
   • Example 1, Example 2 & Example 3
4. Composite Function (Comparison Method)
5. Finding new function given a composite function (Case A : First function is given)
6. Finding new function given a composite function (Case B : Second function is given) Harder. Make sure you try it ! (Substitution Method)
7. Inverse Function
   • Example 1 – 3 | Example 4 – 6
8. Textbook Question (KSSM) (with Solution)
   • Self Practice | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 | 1.8 | 1.9 | 1.10
   • Intensive Practice | 1.1 | 1.2 | 1.3
   • Mastery Practice | Question 1 – 7 | Question 8 – 14
9. SPM Focus Practice (with Solution)
   
   1. Short Questions
      • Question 1 – 4, Question 5 – 8
   2. Long Questions
      • Question 1 & 2, Question 3 & 4, Question 5
10. Mind Map

Videos：

1. Relation – Domain, Codomain, Objects and Images of Relations | Types of Relation
2. Function – Function and Function Notation | Function and Function Notation (Examples) | Absolute Value Function
3. (i) Types of Relation and Function Notation | (ii) Finding Object and Image for Ordered Pair | (iii) Finding Domain, Codomain and Range from Arrow Diagram

02 Quadratic Functions

1. General Form of Quadratic Equation
2. Roots of Quadratic Equations
3. Solving Quadratic Equations
   • Factorisation
   • Completing the Square
   • Quadratic Formula
4. Forming Quadratic Equations from Given Roots
   • Finding the Sum of Roots and Product of Roots | Examples
5. Discriminant of a Quadratic Equation
   • Examples
6. General Form of Quadratic Function
7. Graph of Quadratic Functions
8. Nature of the Roots (Combination of Straight Line and the Curve)
   • Example 1 (Straight Line is Tangent to the Curve)
   • Example 2 (Straight Line intersect the curve at two distinct points)
   • Example 3 (Straight Line does not intersect the curve)
9. Quadratic Inequalities
   • Steps to solve a Quadratic Inequalities
   • Example 1 (Linear Inequality)
   • Example 2 (Quadratic Inequalities)
10. Maximum and Minimum Value of Quadratic Functions
    • Example 1 : Finding maximum/minimum point and axis of symmetry of a quadratic function 
11. Finding the Maximum and Minimum points of Quadratic Function using completing the square
    • Example 1 : Finding Maximum and minimum point of quadratic function using completing the square
12. Sketching the Graph of Quadratic Functions
    • Example 1  
13. Textbook Question (KSSM) (with Solution)
    • Self Practice | 2.1 | 2.2 | 2.3 | 2.4 | 2.5 | 2.7 | 2.8 | 2.10 | 2.11
    • Intensive Practice | 2.1 (Question 1 – 7) | 2.1 (Question 8 – 13) | 2.2 | 2.3
    • Mastery Practice | Question 1 – 7 | Question 8 – 12
14. SPM Focus Practice (with Solution)
    
    1. Short Questions 
       • Question 1 – 3 | Quesion 4 – 6 | Question 7 – 9 | Question 10 – 12 
       • Question 13 – 16 | Question 17 – 19 | Question 20 – 22
    2. Long Questions 
       • Question 1 & 2 | Question 3 & 4 | Question 5 | Question 7 & 8 
       • Question 9 & 10, Question 11 & 12
15. Mind Map

Videos:

1. Quadratic Function (Linear Inequality)
2. Quadratic Function (Quadratic Inequality)

03 Systems of Equations

1. Simultaneous Equations in Two Unknowns
   • Example 1 & 2
2. Textbook Question (KSSM) (with Solution)
   • Self Practice | 3.1 | 3.2 | 3.3 | 3.4 | 3.5
   • Intensive Practice | 3.1 (Question 2(a), 2(b), 2(c) | 3.1 (Question 2(d), 2(e), 2(f) | 3.1 (Question 1, Q3, Q4 & Q5) | 3.2
   • Mastery Practice | Part 1 (Question 1 – 6) | Part 2 (Question 7 – 11)
3. SPM Focus Practice, Paper 2 (with Solution)
   • Question 1 & 2, Question 3 & 4, Question 5 & 6, Question 7 & 8
   • Question 9
4. Using Casio fx-570ES Plus / Casio fx-991ES Plus Calculator for Simultaneous Equations
5. Mind Map

04 Indices, Surds and Logarithms

1. Indices
   
   1. Indices Part 1
   2. Indices Part 2
2. Logarithms
   • Example 1 & Example 2
   1. Laws of Logarithms
      • Example 2 & Example 3
   2. Change of Base of Logarithms
      • Example 3 & Example 4
3. Equations Involving Indices
   • Example 2 (Index Equation – Equal Base)
   • Example 3 (Solving Index Equation Simultaneously)
   • Example 4 (Index Equation – Substitution)
   • Example 5 (Unequal Base – Put log both side)
4. Equations Involving Logarithms
   • Example 2 & 3, Example 4 & 5
5. Textbook Question (KSSM) (with Solution)
   • Self Practice | 4.1 | 4.2 | 4.3 | 4.4 | 4.5 | 4.6 | 4.7 | 4.8 | 4.9 | 4.10 | 4.11 | 4.12 | 4.13 | 4.14
   • Intensive Practice | 4.1 | 4.2 | 4.3 | 4.4
   • Mastery Practice
6. SPM Focus Practice (with Solution)
   
   1. Short Questions 
      • Question 1 – 4, Question 5 – 7, Question 8 – 10, Question 11 – 13
   2. Long Questions
      • Question 1 & 2, Question 3 & 4
7. Mind Map

Videos:

1. Indices – Introduction | Zero Indices & Negative Integral Indices | Fractional Indices | Fractional Indices (Examples) | Express a Number in Index Form
2. Law of Indices – Product of Two Indices Number | Quotient of Two Indices Number | Index of An Index Number | Index of A Product/ Quotient | Summary | Examples
3. Logarithm – Introduction 1 | Introduction 2 | Laws of Logarithm | Laws of Logarithm (Examples)
4. Finding Exact Value of a Logarithm – Part 1 | Part 2 | Part 3 | Part 4
5. Change of Base of a Logarithm – Part 1 | Part 2 | Part 3
6. Solving Equation with Index Number – Part 1 | Part 2 | Part 3 (Simultaneous Equation) | Part 4 (Addition/ Subtraction) | Part 5 (Examples)
7. Using Casio fx-570ES Plus / Casio fx-991ES Plus Calculator for Indices & Logarithm
8. Solving Exponential Equation

05 Progression

1. Formula (PDF Copy)
2. Arithmetic Progression
   
   1. Characteristics of arithmetic progressions
   2. The nth term of an arithmetic progression
      • Example 1 – 4
   3. Sum of the first n terms of an arithmetic progressions 
   4. SPM Focus Practice – Arithmetic Progression (Paper 1)
      • Download PDF Copy – Without Answer Space
      • Download PDF Copy – With Answer Space
      • Step by Step Answer
      • Question 1 – 5, Question 6 – 10, Question 11 – 15

3. Geometric Progression
   
   1. Characteristics of geometric progressions
   2. The nth term of a geometric progression
      • Example 1 – 3
   3. Sum of the first n terms of a geometric progression
   4. Sum to infinity of a geometry progression 
   5. SPM Focus Practice – Geometric Progression (Paper 1)
      • Download PDF Copy – Without Answer Space
      • Download PDF Copy – With Answer Space
      • Step by Step Answer
      • Question 1 – 5, Question 6 – 10, Question 11 – 14
4. Textbook Question (KSSM) (with Solution)
   • Self Practice | 5.1 | 5.2 | 5.3 | 5.4 | 5.5 | 5.6 | 5.7 | 5.8 | 5.9
   • Intensive Practice | 5.1 | 5.2
   • Mastery Practice | Question 1 – 7
5. SPM Focus Practice (with Solution)
   • Question 1 & 2, Question 3 & 4, Question 5
6. Mind Map

Video:

Geometric Progression

06 Linear Law

1. Formula (PDF Copy)
2. Revise of Important Concept (Straight Line)
3. Lines of Best Fit
   • Steps to draw a Line of Best Fit
4. Equations of Line of Best Fit
5. Applications of Linear Law to Non-linear Relations
   • Linear versus Non-Linear Function
   • Tips to reduce Non-Linear Function to Linear Function
6. Textbook Question (KSSM) (with Solution)
   
   1. Self Practice | 6.1 | 6.2 | 6.3 | 6.4 | 6.5 | 6.6
   2. Intensive Practice | 6.1 | 6.2 | 6.3
   3. Mastery Practice | Question 1 – 11
7. SPM Practice 1 (Reduce Non-linear Function to Linear Function)
   • Download PDF Copy-Without Answer Space
   • Download PDF Copy-With Answer Space
   • [Example (a)-(f)] | [Example (g)-(l)]
8. SPM Practice 2 (Short Questions)
   • Download PDF Copy-Without Answer Space
   • Download PDF Copy-With Answer Space
   • Question 1 – 3 | Question 4 & 5 | Question 6 & 7 | Question 8 – 10
9. SPM Practice 3 (Long Questions)
   • Download PDF Copy-Without Answer Space
   • Download PDF Copy-With Answer Space
   • Question 1 | Question 2 | Question 3 | Question 4 
   • Question 5
10. Mind Map

07 Coordinate Geometry

1. Distance between 2 Points
2. Division of Line Segment
3. Areas of Polygons
4. Equations of Straight Lines (Part 1)
5. Equations of Straight Lines (Part 2)
6. Parallel and Perpendicular Lines
7. Equation of a Locus
8. Textbook Question (KSSM) (with Solution)
   
   1. Self Practice | 7.1 | 7.2 | 7.3 | 7.4 | 7.5 | 7.6 | 7.7 | 7.8 | 7.9 | 7.10 | 7.11
   2. Intensive Practice | 7.1 | 7.2 (Question 1 – 7) | 7.2 (Question 8 – 11) | 7.3 | 7.4
   3. Mastery Practice
9. SPM Focus Practice (with Solution)
   
   1. Short Questions 
      • Question 1 & 2, Question 3 – 5, Question 6 & 7
   2. Long Questions 
      • Question 1 & 2, Question 3 & 4, Question 5 & 6, Question 7 & 8
      • Question 9
10. Mind Map

08 Vectors

1. Vector
2. Multiplication of Vector by a Scalar and the Parallel Condition of Two Vectors
3. Addition and Subtraction of Vectors
   
   1. Addition of Vectors
   2. Subtraction of Vectors
4. Expression of a Vector as the linear Combination of a Few Vectors
5. Vectors in Cartesian Plane
6. Textbook Question (KSSM) (with Solution)
   • Self Practice | 8.1 | 8.2 | 8.3 | 8.4 | 8.5 | 8.6 | 8.7 | 8.8 | 8.9 | 8.10
   • Intensive Practice | 8.1 | 8.2 | 8.3
   • Mastery Practice | Question 1 – 12
7. SPM Focus Practice (with Solution)
   
   1. Short Questions
      • Question 1 – 3, Question 4 & 5, Question 6 & 7
   2. Long Questions 
      • Question 1 & 2, Question 3 & 4, Question 5 & 6, Question 7 & 8
      • Question 9
8. Mind Map

09 Solution of Triangles

1. Sine Rule
2. Cosine Rule
3. Areas of Triangles
4. Textbook Question (KSSM) (with Solution)
   • Self Practice | 9.1 | 9.2 | 9.3 | 9.4 | 9.5 | 9.6 | 9.7 | 9.8 | 9.9 | 9.10
   • Intensive Practice | 9.1 | 9.2 | 9.3 | 9.4
   • Mastery Practice | Question 1 – 12
5. SPM Focus Practice (with Solution)
   • Question 1 & 2, Question 3 & 4, Question 5 & 6, Question 7 & 8
   • Question 9
6. Mind Map

10 Index Number

1. Index Number
2. Composite Index
3. Textbook Question (KSSM) (with Solution)
   • Self Practice | 10.1 | 10.2 | 10.3 | 10.4
   • Intensive Practice | 10.1 | 10.2
   • Mastery Practice | Question 1 – 12
4. SPM Focus Practice (with Solution)
   • Question 1 , Question 2, Question 3, Question 4, Question 5
5. Mind Map